Atlas813 of 3,942

I.B.103

m₃ = 0.5

From Li & Liao (2017)

I.B.103 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 153.76 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.988), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000308 of each other at a top speed of 65.8, line up 204 times a period, and the computed loop closes to 1.6×10⁻²⁴.

Measured over one period

Period: 153.7577953
Masses: 1 : 1 : 0.5
Energy: -0.993305
Angular momentum: 0
Closest approach: 3.1×10⁻⁴
Top speed: 65.82
Path length: 339.23
Alignments per period: 204
Topology: abaBabaBAbaBAbaBAbabAbaBABaBABabAbabABabABabABabaBabaBAbaBAbaBAbaBAbabAbabABabABabABabaBabABAbABAbaBabaBAbaBAbaBAbabAbabABabABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.988)
Loop closure: 1.6×10⁻²⁴

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.